Fixed point results for generalized almost contractions and application to a nonlinear matrix equation-Reference-Cited by-同舟云学术

Fixed point results for generalized almost contractions and application to a nonlinear matrix equation

Published:2024 Issue:5 Volume:9 Page:12287-12304
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Prasad Koti N. V. V. V.¹,Mishra Vinay¹,Mitrović Zoran D.²,Aloqaily Ahmad³⁴,Mlaiki Nabil³

Affiliation:

1. Department of Mathematics, Guru Ghasidas Vishwavidyalaya, A Central University, 495009, Bilaspur (C.G.), India

2. Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina

3. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586 Saudi Arabia

4. School of computer, Data and Mathematical Sciences, Western Sydney University, Australia-Sydney-2150

Abstract

<abstract><p>The goal of this paper was to improve some known results of fixed points by using $ w $-distances and properties of locally symmetric $ \mathcal{H} $-transitivity of binary relations. Also, we gave the application of the obtained results for finding the solution of nonlinear matrix equations. Finally, we gave a numerical example to demonstrate the applicability of our results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference36 articles.

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